English

Irreversibility and gravitational radiation: A proof of Bondi's conjecture

General Relativity and Quantum Cosmology 2024-01-12 v1 Cosmology and Nongalactic Astrophysics

Abstract

It is shown that the evolution of an axially and reflection symmetric fluid distribution, satisfying the Tolman condition for thermal equilibrium, is not accompanied by the emission of gravitational radiation. This result, which was conjectured by Bondi many years ago, expresses the irreversibility associated to the emission of gravitational waves. The observational consequences emerging from this result are commented. The resulting models are not only non--dissipative and vorticity free, but also shear--free and geodesic, furthermore all their complexity factors vanish.

Keywords

Cite

@article{arxiv.2401.05959,
  title  = {Irreversibility and gravitational radiation: A proof of Bondi's conjecture},
  author = {L. Herrera and A. Di Prisco and J. Ospino},
  journal= {arXiv preprint arXiv:2401.05959},
  year   = {2024}
}

Comments

9 pages Revtex-4. Published in PRD